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Integrating desmos and songket motifs: A PMRI-based learning trajectory for rotation Puja Teressa Fawensi; Zulkardi Zulkardi; Ely Susanti; Meryansumayeka Meryansumayeka
Jurnal Elemen Vol 12 No 2 (2026): April
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/jel.v12i2.33421

Abstract

This study is motivated by students’ low conceptual understanding and spatial reasoning in rotation, as well as the limited integration of local cultural contexts with digital technology in mathematics learning. It aims to design and validate a PMRI-based Hypothetical Learning Trajectory (HLT) integrating Songket Mak Raje and Desmos to develop students’ conceptual understanding and spatial reasoning on rotation. The study employs a design research method of the validation study type, involving 6 students in the pilot experiment and 36 students in the teaching experiment. The main instrument is a Desmos-based E-LAS. Data were collected through observation, interviews, and analysis of students’ work documents and analyzed qualitatively using thematic and retrospective approaches. The results show that the developed HLT is valid and effective in developing students’ conceptual understanding and spatial reasoning. Retrospective analysis produced a Local Instructional Theory (LIT) as a refinement of the HLT, emphasizing gradual scaffolding, explicit articulation of rotation properties through guided inquiry before formal generalization, and early introduction of non-contextual problems with geometric constraints to foster spatial reasoning. This study implies a model for integrating ethnomathematics and digital technology, a PMRI-based LIT as a guide for instructional design, and a practical and validated Desmos-based E-LAS prototype.
Systematic Literature Review: Exploring Research Focus on Ratio and Proportion Filian Yunita Sari; Zulkardi Zulkardi; Ratu Ilma Indra Putri; Ely Susanti
Indiktika : Jurnal Inovasi Pendidikan Matematika Vol. 8 No. 1 (2025): Indiktika : Jurnal Inovasi Pendidikan Matematika
Publisher : FKIP Universitas PGRI Palembang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31851/indiktika.v8i1.21074

Abstract

Ratios and proportions are fundamental topics in mathematics education that students must master because they play an important role in the development of mathematical reasoning. The focus of this study is to examine and analyze previous research related to the learning of ratios and proportions in the period 2017–2022 through a Systematic Literature Review (SLR). A total of 19 relevant articles (13 Scopus, 6 Google Scholar) were selected using the Publish or Perish application. The results of the literature review show that students' ability to understand and solve ratio and proportion problems is still relatively low, especially in representing contextual situations in mathematical models, interpreting various representations, relating concepts to real life, and understanding the meaning of formula usage. The results of design research and experimental studies show that learning based on realistic contexts, inquiry approaches, games, and pattern identification strategies can consistently improve students' conceptual understanding and problem-solving abilities. These findings imply the importance of designing ratio and proportion learning that emphasizes active student involvement, the use of contexts that are close to real life, and the strengthening of conceptual understanding. Learning that is oriented towards exploration and conceptual meaning has the potential to be an effective strategy for improving the quality of ratio and proportion learning, especially at the junior high school level.
Analysis of Mathematical Problem Solving Ability through the Use of School Cooperative Context as an Innovative Contextual Approach in Learning Straight Line Equation Material Titin Wijayanti; Zulkardi Zulkardi; Ely Susanti; Meryansumayeka Meryansumayeka
Prisma Sains : Jurnal Pengkajian Ilmu dan Pembelajaran Matematika dan IPA IKIP Mataram Vol. 13 No. 1: January 2025
Publisher : Universitas Pendidikan Mandalika

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33394/j-ps.v13i1.13793

Abstract

The purpose of this study was to describe the mathematical ability of grade VIII students at SMP Negeri 2 Sungai Keruh, Musi Banyuasin Regency in solving problems on the material of straight line equations by using the context of school cooperatives where school cooperatives provide an authentic context-based learning environment, allowing students to directly apply the concepts they have learned, including in the field of mathematics. Students' ability to solve mathematical problems plays an important role in determining the level of student success in learning. The subjects this study involved 30 students who were class VIII students. To describe in depth the students' ability to solve problems, a comprehensive approach is needed that not only includes the final results, but also the thought processes and strategies they use in solving these problems. With descriptive method and qualitative approach is the type of this research. The tool instrument in this study used in the form of an instrument to do a test on the ability solve mathematical problems with the material straight line equations as much as 2 activities of problem test activities and in the form of interviews. The level of students' ability to solve math problems at each Polya stage is as follows. 27% of students are categorized as high ability, 50% of students with medium ability and 23% of students with low ability to solve problems. In general, this situation illustrates that students' ability to solve mathematical problems is at a moderate level. These results illustrate that students' ability to solve mathematical problems can be improved through a more contextualized direct approach where problem-based learning helps students understand mathematical concepts by linking theory to real situations, encouraging students to think critically in solving problems directly using problems that are very relevant in everyday life.
Workshop Pengembangan Instrumen Visual Thinking Berbasis Konteks Tari Kejei Pada Materi Garis dan Sudut Nur Fitriyana; Ratu Ilma Indra Putri; Zulkardi Zulkardi; Ely Susanti
JURNAL CEMERLANG: Pengabdian pada Masyarakat Vol 8 No 2 (2026): JURNAL CEMERLANG: Pengabdian Pada Masyarakat
Publisher : LP4MK STKIP PGRI Lubuklinggau

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31540/jpm.v8i2.4137

Abstract

Kemampuan visual thinking berperan penting dalam membantu siswa memahami konsep matematika, khususnya pada materi geometri seperti garis dan sudut. Namun, dalam praktik pembelajaran, pemanfaatan konteks budaya dalam pengembangan instrumen pembelajaran matematika masih terbatas. Oleh karena itu, kegiatan ini bertujuan meningkatkan pemahaman peserta mengenai visual thinking serta kemampuan menyusun soal berbasis konteks budaya melalui workshop. Kegiatan ini melibatkan 39 peserta dan dilaksanakan melalui beberapa tahapan, yaitu orientasi kegiatan, eksplorasi konsep visual thinking, integrasi konteks Tari Kejei dalam pembelajaran matematika, praktik penyusunan instrumen, serta evaluasi kegiatan. Data diperoleh melalui angket pretest dan posttest. Hasil analisis menunjukkan adanya peningkatan pemahaman peserta dari 45%–60% sebelum workshop menjadi 84%–92% setelah workshop. Hasil ini menunjukkan bahwa workshop berbasis konteks budaya dapat meningkatkan pemahaman peserta mengenai visual thinking serta kemampuan menyusun soal matematika yang kontekstual.
Co-Authors Abul Walid Adi Saputro Aditya, Pandu Agustarina, Mitta Ainun Jariyah Ainun Mardia Aisyah Turidho Alimah Br Tambunan Allen Marga Retta, Allen Marga Amrina Rosyada Amrina Rosyada Anak Agung Gede Sugianthara Andita, Sintia Angge Sapto Mubharokh Angge Sapto Mubharokh Annisa Oktavia Lestari Arika Sari Ardani Arin, Arin Arsan Shanie Arum Niti Wijayanti As Elly Asep Nurul Aripin Asmaul Husna Astuti, Puji Audina, Chamila Putri Audrilia, Riski Avida Avida Avida Avida, Avida AYU LESTARI Ayu Mentari Bariyah, Leny Belinda Ambarwati Berlian, M Ridho Ratu Cecep Anwar FS Cecil Hiltri Martin Cecil Hiltrimartin Cecil Hiltrimartin Cecil Hiltrimatrin Chn, Rafika Riana Choirunisa, Choirunisa Danil C, Fransisco Darmawijoyo, Darmawijoyo Dasaprawira, M Noviarsyah Delfi, Iftina Desi Safitri Desvitasari, Tria Dewi Ananti Wulan Dewi Rawani Dian Fitriana Diki Suryanto Drajat Friansah Duano Sapta Nusantara Dwi Hasmidyani Dwi Rivana Dyna Meriza Edy Purnomo Effendi, Firman Elfariana, Rizma Elvina, Nova Etika Prasetyani Etika Prasetyani, Etika Ety Septiati Febriani, Ria Filian Yunita Sari Firsta, Risa Rahmatia Fitra, Dian Fitrisyah, Muhammad Aidil Hapizah Harisman Nizar Hauda, Nabilah Hendrik Efendi Lumban Tobing Hijir Ardiansyah Hiriza Imron Ida Hamidah Ifana, Bernika Indrialis Ika Pratiwi Ika Pratiwi Indah Rahmasari Indaryanti Indaryanti Intan Saputri Isrokatun Isrokatun Isrok’atun Jeri Araiku Jesika Dwi Putriani Johan, Mery Khairida Fahriya Imtinan Kurniadi, Elika Lasti, Nadila Leni Maimuna Linda Herlinda Luthfi, Nurrana M David Safitra M. Arrasikh Hidayatullah Arrasikh M. Rikza Chamami M. Yusuf Maimuna, Leni Marhamah Marhamah Mariela, Anadia Muli Marina, Rini Martin, Cecil Hiltri Masrukan Masrukan Mery Johan Meryansumayeka Meryansumayeka Mitha Frilia Muhammad Aidil Fitrisyah Muhammad Akbar Budiman Muhammad Yusuf Muhammad Yusup Mulyono, Budi MUSLIMIN Nabila Putri Isamer Nabila, Siti Nena A’laa Annasa Alif Nety Wahyu Saputri Ningsih, Putri Ningsih, Sri Tuti Nisa, Sholihatun Novi Susanti Novi Triana Novianti Mandasari Novita Sari Novita Sari Nugraha, Inka Verandera Nur Fitriyana Nurdiyanto, Tito Nuril Fajria Ramadhona Nuril Fajriana Ramadhona Nurrana Fitria Luthfi Nurrosyadah, Naqiyyah Nyiayu Fraisa Fatiyah, Nyiayu Fraisa Nyimas Aisyah Nyimas Aisyah Oktaviani Silaen, Elza Ostian, Dyego Pemi Purnama Sari Pratiwi, Weni Dwi Puja Teressa Fawensi PUJI ASTUTI Pujiati Pujiati Purwasi, Lucy Asri Purwoko Purwoko Purwoko Purwoko Puspita Sari Putra, Eko Septiansyah Putri Ningsih Putri, Debi Suci Putri, Dhea Anisah Putri, Ratu ilma Indah Putriani, Jesika Dwi Qatrunnada, Dhiya Rahayu, Ayu Puji Rahmawati Rahmawati Rahmawati, Rahmawati Ramadan, Dwi Cahya Ramadhona, Nuril Fajria Rarri Bian Ryandi Ratih Handayani Ratu Ilma Ratu Ilma Indra Putri Rendi Muhammad Aris Rendi Muhammad Aris, Rendi Muhammad Reni Setiawati Reni Setiawati Risa Rahmatia Firsta Riski Audrilia S. B. Waluya, S. B. Safitra, M. David Sakiman, Novi Komariyatiningsih Sanita, Eka Saputri, Intan Sari, Arika Sari, Filian Yunita Sari, Pemi Purnama Scristia, Scristia Setiyowati, Nadiah Sholihatun Nisa Silaen, Elza Oktaviani Simarmata, Ruth Helen Sindi Citra Rahayu SISKA NINGSIH Siti Mistima Maat Situmorang, Gresilia Somakim, Somakim SRI RAHAYU Sujinal Arifin Sukmaningthias, Novika Sukmaningtias, Novika Suparmi, Etty Supratik Suryani , Eka SURYANI, EKA Susanti, Elsa SYAHRIAL SYAHRIAL Tatag Yuli Eko Siswono titin wijayanti Titin Wijayanti Tito Nurdiyanto Tobing, Hendrik Efendi Lumban Triana, Novi Trisia Wati Trisna Wulandari Turidho, Aisyah Uswatun Hasanah Utami, Marta Risa Putri Vera Yuliana Vira Putri Ermanda Widya Auliya Oktaviana Wijaya, Aldi Putra Wilda Halimatunisa Winda Nursantika Wulan, Dewi Ananti Wulan, Dewi Ananti Wulandari, Trisna Yanna Sanova Yefsi Desty Ania Yonanda, Pramestry Yuliana FH Yulianita Yunita Sari Manalu, Yunita Sari Yurika Mariani Yusuf Hartono Zuli Nuraeni Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi _